Estimation of Fixed Parameters in Negative Binomial Mixed Model Using Shrinkage Estimators

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JCSM-1-2_006

تاریخ نمایه سازی: 18 بهمن 1400

Abstract:

‎In this paper‎, ‎we consider the problem of parameter estimation in {color{blue} negative binomial mixed model} when it is suspected that some of the fixed parameters may be restricted to a subspace via linear shrinkage‎, ‎{color{blue} preliminary test}‎, ‎shrinkage {color{blue} preliminary test}‎, ‎shrinkage‎, ‎and positive shrinkage estimators along with the unrestricted maximum likelihood and restricted estimators‎. ‎The random effects are considered as nuisance parameters‎. ‎We conduct a Monte Carlo simulation study to evaluate the performance of each estimator in the sense of simulated relative efficiency‎. ‎The results of simulation study reveal that the proposed estimation strategies perform more better than {color{blue} the} maximum likelihood method‎. ‎The proposed estimators are applied to a real dataset to appraise their performance‎.

Authors

Zahra Zandi

Department of Statistics, University of Tabriz, Tabriz, Iran

Hossein Bevrani

Department of Statistics, University of Tabriz, Tabriz, Iran

Reza Arabi Belaghi

Department of Statistics, University of Tabriz, Tabriz, Iran